The OP said you needed a pressure suit, and that an O2 canister wouldn't help. Since the pressure of the O2 cannister will be down regulated to 1ATM, I can breath 1ATM air, no matter where I am, including 35,000 feet.
Is there, perhaps, some reason why I can't? Lungs exploding because of the 1ATM pressure differential, for instance? It seems that 1ATM is not that much, but perhaps it is... That's what I'm curious about.
You can breath pressurized air directly from an air mask without wearing a pressurized suit. Many military aircraft use this system (the air mask is strapped tightly to the face to maintain pressure).
I'm sure at some point you need a pressurized suit to make breathing possible, but it likely has more to do with preventing decompression sickness and protecting against the cold (at very low pressure the moisture from your skin will rapidly boil, cooling off your skin).
That's a great link. Here is another http://www.nasa.gov/centers/dryden/pdf/87912main_H-1093.pdf both of which say that if you have an air tight mask correctly valved you can breath at 40,000' on stored oxygen. (in the NASA case they were interested in getting between really high altitude and then down to 40K' in the event of a loss of cabin pressure)
The summary then would be that you aren't going to survive in a wheel well of an air craft above 35,000 without carrying both oxygen and a delivery system that is capable of maintaining an adequate partial pressure in your lungs.
Now when I visited NASA AMES during one of their many open houses we got to look at one of their U2 research planes and either I or one of my kids asked the pilot why they wore a 'spacesuit' and their response was "Because oxygen masks don't work above 35,000 feet." which, more accurately it would seem its harder and harder to make a working system as you go above 35,000'.
Very cool discussion btw, clearly its a very nuanced kind of thing.
Is there, perhaps, some reason why I can't? Lungs exploding because of the 1ATM pressure differential, for instance? It seems that 1ATM is not that much, but perhaps it is... That's what I'm curious about.